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Finding the Third Proportional to 1,817,228,046 and 3,952,853,196

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Solution

The third proportional to 1,817,228,046 and 3,952,853,196 is: 8,598,287,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817,228,046 : 3,952,853,196 = 3,952,853,196 : x
  2. Step 2: Convert to fraction form
    1,817,228,046/3,952,853,196 = 3,952,853,196/x
  3. Step 3: Cross multiply
    1,817,228,046x = 3,952,853,196 × 3,952,853,196
  4. Step 4: Simplify right side
    1,817,228,046x = 15,625,048,389,127,413,760
  5. Step 5: Solve for x
    x = 15,625,048,389,127,413,760/1,817,228,046
  6. Step 6: Final answer
    x = 8,598,287,057.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.